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mf_newforms • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 9, 'char_parity': 1, 'char_values': [570, 9, [191, 457, 211], [9, 9, 1]], 'cm_discs': [], 'conrey_index': 61, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 3, 2, 9, 3, 1]], [11, [1, 0, 3, 2, 9, 3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008573677830714, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '570.2.u.c', 'level': 570, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.u.c', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\zeta_{18}+\\zeta_{18}^{4})q^{2}-\\zeta_{18}q^{3}-\\zeta_{18}^{5}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '570.2.u', 'trace_display': [0, 0, 0, -3], 'trace_hash': 390939050967318252, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.260', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': '107.138', 'prec': 24}, {'__RealLiteral__': 0, 'data': '48.241', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2713.320', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [6, 0, 0, 0, 0, 0, -3, 3, 0, 0, -3, -3, -3, -3, 0, 0, -3, -6, 9, 6, -6, -3, -3, 0, 0, -6, -3, -6, 15, 3, 12, 0, -6, -15, 3, 0, -18, 0, -12, 0, 18, -3, 21, 3, -3, -3, 24, 0, 12, 3, -12, -3, 12, 0, 3, -6, -18, -6, 27, 0, -45, 12, 3, -3, 6, -3, -12, 6, 3, -3, 18, 0, 15, -15, 6, 12, 0, -6, -3, 0, 0, -18, -3, -3, -3, -3, -3, 3, -9, 0, -15, 15, -3, -6, 18, -6, -24, -3, -6, 0, -21, -6, 27, -6, -6, -24, 39, 0, 3, 6, -21, -6, 36, 6, -6, 15, -3, 0, 12, 0, 24, -6, -9, -3, -3, 3, 12, 0, 21, 3, 0, 6, -12, 30, 0, 12, -21, 3, -18, -3, -3, 27, -6, -3, -3, -15, 12, 6, -3, 0, -6, 9, -12, -3, 15, -3, 18, 3, 24, 3, -3, 0, 6, 15, 3, -15, 21, -3, -27, 12, -6, -18, -24, 12, 3, -6, -27, -9, -12, 0, -18, -12, 6, -15, 6, 12, -33, 24, 6, 6, -6, 0, 45, -48, -3, 3, 6, 3, 12, 0, 15, 12, 3, 15, 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mf_hecke_cc • Show schema
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'embedding_m': 3, 'embedding_root_imag': -0.3420201433256687, 'embedding_root_real': 0.9396926207859084, 'hecke_orbit': 3, 'hecke_orbit_code': 9008573677830714, 'label': '570.2.u.c.301.1', 'level': 570, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 9, 'char_parity': 1, 'char_values': [570, 9, [191, 457, 211], [9, 9, 1]], 'conrey_index': 61, 'cusp_dim': 672, 'dim': 72, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1374423089722, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '570.2.u', 'level': 570, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 768, 'mf_new_dim': 72, 'num_forms': 10, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 240, 'trace_bound': 12, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, 0, 0, 0, -24, 48, 0, 0, 12, 0, 0, 48, 0, 24, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 41588761
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830714, 'source_is_minimal': True, 'source_label': '570.2.u.c.301.1', 'source_level': 570, 'target_conrey_index': 301, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830714, 'target_is_minimal': True, 'target_label': '570.2.u.c.301.1', 'target_level': 570, 'twist_class_label': '570.2.u.c.301.1', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41588762
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830714, 'source_is_minimal': True, 'source_label': '570.2.u.c.301.1', 'source_level': 570, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830714, 'target_is_minimal': True, 'target_label': '570.2.u.c.481.1', 'target_level': 570, 'twist_class_label': '570.2.u.c.301.1', 'twist_class_level': 570, 'twisting_char_label': '19.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1060275
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 2}
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id: 1060276
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 3}
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id: 1060277
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 5}
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id: 1060278
{'charpoly_factorization': [[[1, 0, 3, 2, 9, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 7}
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id: 1060279
{'charpoly_factorization': [[[1, 0, 3, 2, 9, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 11}
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id: 1060280
{'charpoly_factorization': [[[9, -27, 9, 24, 18, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 13}
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id: 1060281
{'charpoly_factorization': [[[9, 0, -18, 24, 54, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 17}
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id: 1060282
{'charpoly_factorization': [[[6859, -3249, 0, 179, 0, -9, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 19}
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id: 1060283
{'charpoly_factorization': [[[289, 51, -84, 28, 39, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 23}
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id: 1060284
{'charpoly_factorization': [[[9, -27, 360, -300, 99, -15, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 29}
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id: 1060285
{'charpoly_factorization': [[[1369, 999, 1173, -398, 117, -12, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 31}
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id: 1060286
{'charpoly_factorization': [[[-179, -12, 9, 1], 2]], 'hecke_orbit_code': 9008573677830714, 'p': 37}
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id: 1060287
{'charpoly_factorization': [[[289, 1071, 1692, -98, 90, -18, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 41}
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id: 1060288
{'charpoly_factorization': [[[1369, 1776, 1011, -161, 132, -21, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 43}
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id: 1060289
{'charpoly_factorization': [[[47961, -29565, 9486, -1920, 270, -24, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 47}
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id: 1060290
{'charpoly_factorization': [[[94249, 39603, 6216, -1351, 93, -12, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 53}
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id: 1060291
{'charpoly_factorization': [[[104329, -34884, 8991, -2107, 324, -27, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 59}
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id: 1060292
{'charpoly_factorization': [[[237169, 92043, 42813, 8776, 882, 45, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 61}
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id: 1060293
{'charpoly_factorization': [[[3249, -1539, 522, -300, 54, 12, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 67}
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id: 1060294
{'charpoly_factorization': [[[54289, -31455, 7794, -1252, 180, -18, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 71}
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id: 1060295
{'charpoly_factorization': [[[289, 2040, 4020, -242, 120, -15, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 73}
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id: 1060296
{'charpoly_factorization': [[[361, -57, 120, -64, -3, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 79}
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id: 1060297
{'charpoly_factorization': [[[3249, 1026, 495, 60, 27, 3, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 83}
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id: 1060298
{'charpoly_factorization': [[[23409, -2754, -1539, 819, 252, 9, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 89}
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id: 1060299
{'charpoly_factorization': [[[494209, -118104, 8304, 3329, 336, 24, 1], 1]], 'hecke_orbit_code': 9008573677830714, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 21, 'hecke_orbit': 3, 'label': '570.2.u.c', 'level': 570, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31922059
{'hecke_orbit_code': 9008573677830714, 'n': 1, 'trace_an': 6}
-
id: 31922060
{'hecke_orbit_code': 9008573677830714, 'n': 2, 'trace_an': 0}
-
id: 31922061
{'hecke_orbit_code': 9008573677830714, 'n': 3, 'trace_an': 0}
-
id: 31922062
{'hecke_orbit_code': 9008573677830714, 'n': 4, 'trace_an': 0}
-
id: 31922063
{'hecke_orbit_code': 9008573677830714, 'n': 5, 'trace_an': 0}
-
id: 31922064
{'hecke_orbit_code': 9008573677830714, 'n': 6, 'trace_an': 0}
-
id: 31922065
{'hecke_orbit_code': 9008573677830714, 'n': 7, 'trace_an': -3}
-
id: 31922066
{'hecke_orbit_code': 9008573677830714, 'n': 8, 'trace_an': 3}
-
id: 31922067
{'hecke_orbit_code': 9008573677830714, 'n': 9, 'trace_an': 0}
-
id: 31922068
{'hecke_orbit_code': 9008573677830714, 'n': 10, 'trace_an': 0}
-
id: 31922069
{'hecke_orbit_code': 9008573677830714, 'n': 11, 'trace_an': -3}
-
id: 31922070
{'hecke_orbit_code': 9008573677830714, 'n': 12, 'trace_an': -3}
-
id: 31922071
{'hecke_orbit_code': 9008573677830714, 'n': 13, 'trace_an': -3}
-
id: 31922072
{'hecke_orbit_code': 9008573677830714, 'n': 14, 'trace_an': -3}
-
id: 31922073
{'hecke_orbit_code': 9008573677830714, 'n': 15, 'trace_an': 0}
-
id: 31922074
{'hecke_orbit_code': 9008573677830714, 'n': 16, 'trace_an': 0}
-
id: 31922075
{'hecke_orbit_code': 9008573677830714, 'n': 17, 'trace_an': -3}
-
id: 31922076
{'hecke_orbit_code': 9008573677830714, 'n': 18, 'trace_an': -6}
-
id: 31922077
{'hecke_orbit_code': 9008573677830714, 'n': 19, 'trace_an': 9}
-
id: 31922078
{'hecke_orbit_code': 9008573677830714, 'n': 20, 'trace_an': 6}
-
id: 31922079
{'hecke_orbit_code': 9008573677830714, 'n': 21, 'trace_an': -6}
-
id: 31922080
{'hecke_orbit_code': 9008573677830714, 'n': 22, 'trace_an': -3}
-
id: 31922081
{'hecke_orbit_code': 9008573677830714, 'n': 23, 'trace_an': -3}
-
id: 31922082
{'hecke_orbit_code': 9008573677830714, 'n': 24, 'trace_an': 0}
-
id: 31922083
{'hecke_orbit_code': 9008573677830714, 'n': 25, 'trace_an': 0}
-
id: 31922084
{'hecke_orbit_code': 9008573677830714, 'n': 26, 'trace_an': -6}
-
id: 31922085
{'hecke_orbit_code': 9008573677830714, 'n': 27, 'trace_an': -3}
-
id: 31922086
{'hecke_orbit_code': 9008573677830714, 'n': 28, 'trace_an': -6}
-
id: 31922087
{'hecke_orbit_code': 9008573677830714, 'n': 29, 'trace_an': 15}
-
id: 31922088
{'hecke_orbit_code': 9008573677830714, 'n': 30, 'trace_an': 3}
-
id: 31922089
{'hecke_orbit_code': 9008573677830714, 'n': 31, 'trace_an': 12}
-
id: 31922090
{'hecke_orbit_code': 9008573677830714, 'n': 32, 'trace_an': 0}
-
id: 31922091
{'hecke_orbit_code': 9008573677830714, 'n': 33, 'trace_an': -6}
-
id: 31922092
{'hecke_orbit_code': 9008573677830714, 'n': 34, 'trace_an': -15}
-
id: 31922093
{'hecke_orbit_code': 9008573677830714, 'n': 35, 'trace_an': 3}
-
id: 31922094
{'hecke_orbit_code': 9008573677830714, 'n': 36, 'trace_an': 0}
-
id: 31922095
{'hecke_orbit_code': 9008573677830714, 'n': 37, 'trace_an': -18}
-
id: 31922096
{'hecke_orbit_code': 9008573677830714, 'n': 38, 'trace_an': 0}
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id: 31922097
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